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A multilevel Monte Carlo finite difference method for random scalar degenerate convection–diffusion equations
Ujjwal Koley, Nils Henrik Risebro, Christoph Schwab and Franziska Weber Journal of Hyperbolic Differential Equations 14(03) 415 (2017) https://doi.org/10.1142/S021989161750014X
Adaptive multistep time discretization and linearization based on a posteriori error estimates for the Richards equation
Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects
Caterina Calgaro and Meriem Ezzoug Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects 199 245 (2017) https://doi.org/10.1007/978-3-319-57397-7_17
On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions
Kenneth Hvistendahl Karlsen, Nils Henrik Risebro and Erlend Briseid Storrøsten ESAIM: Mathematical Modelling and Numerical Analysis 50(2) 499 (2016) https://doi.org/10.1051/m2an/2015057
Adaptive Bilinear Element Finite Volume Methods for Second-Order Elliptic Problems on Nonmatching Grids
Adaptive Mesh Refinement for a Finite Volume Method for Flow and Transport of Radionuclides in Heterogeneous Porous Media
Brahim Amaziane, Marc Bourgeois and Mohamed El Fatini Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 69(4) 687 (2014) https://doi.org/10.2516/ogst/2013176
A kinetic approach to error estimate for nonautonomous
anisotropic degenerate parabolic-hyperbolic equations
Finite Volumes for Complex Applications VI Problems & Perspectives
Alexandre Ern and Martin Vohralı́k Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 821 (2011) https://doi.org/10.1007/978-3-642-20671-9_85
A combined finite volume–finite element scheme for the discretization of strongly nonlinear convection–diffusion–reaction problems on nonmatching grids
Robert Eymard, Danielle Hilhorst and Martin Vohralík Numerical Methods for Partial Differential Equations 26(3) 612 (2010) https://doi.org/10.1002/num.20449
A posteriori estimators for vertex centred finite volume discretization of a convection–diffusion‐reaction equation arising in flow in porous media
B. Amaziane, A. Bergam, M. El Ossmani and Z. Mghazli International Journal for Numerical Methods in Fluids 59(3) 259 (2009) https://doi.org/10.1002/fld.1456
Interval Inclusion Computation for the Solutions of the Burgers Equation
Convergence analysis of a vertex-centered finite volume scheme for a copper heap leaching model
Emilio Cariaga, Fernando Concha, Iuliu Sorin Pop and Mauricio Sepúlveda Mathematical Methods in the Applied Sciences n/a (2009) https://doi.org/10.1002/mma.1234
Heuristic a posteriori estimation of error due to dissipation in finite volume schemes and application to mesh adaptation
Convergence analysis of an approximation to miscible fluid flows in porous media by combining mixed finite element and finite volume methods
Brahim Amaziane and Mustapha El Ossmani Numerical Methods for Partial Differential Equations 24(3) 799 (2008) https://doi.org/10.1002/num.20291
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux
Raimund Bürger, Ricardo Ruiz, Kai Schneider and Mauricio A. Sepúlveda Journal of Engineering Mathematics 60(3-4) 365 (2008) https://doi.org/10.1007/s10665-007-9162-6
Reduced basis method for finite volume approximations of parametrized linear evolution equations
Computational Science and High Performance Computing
D. Kröner Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), Computational Science and High Performance Computing 88 367 (2005) https://doi.org/10.1007/3-540-32376-7_21
A posteriori error estimations of some cell-centered finite volume methods
Local adaptive methods for convection dominated problems
Robert Klöfkorn, Dietmar Kröner and Mario Ohlberger International Journal for Numerical Methods in Fluids 40(1-2) 79 (2002) https://doi.org/10.1002/fld.268